GCF of 7156/583, 2931/9705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7156/583, 2931/9705 i.e 1/5658015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7156/583, 2931/9705.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7156/583,2931/9705?
Given fractions are 7156/583,2931/9705
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7156/583,2931/9705, numerators are 7156,2931
Denominators are 583,9705
The GCF of 7156,2931 is 1 .
LCM of 583,9705 is 5658015.
The greatest common factor of 7156/583,2931/9705 = [GCF of 7156,2931]/[LCM of 583,9705]= 1/5658015
Therefore, the GCF of 7156/583,2931/9705 is 1/5658015.
To find the highest common factor of 7156,2931, we have to find the factors of both numbers and list the highest common factor.
The factors of 7156 are 1, 2, 4, 1789, 3578, 7156
The factors of 2931 are 1, 3, 977, 2931
The HCF of 7156,2931 is 1.
Lets's calculate GCF of 7156,2931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7156,2931 By Matching Biggest Common Factor Method
Now, list down the factors of 7156
:1,2,4,1789,3578,7156
Now, list down the factors of 2931
:1,3,977,2931
Greatest Common Factor
We found the factors 7156,2931 . The biggest common factor number is the GCF number.
So the greatest common factor 7156,2931 is 1.
Lets's calculate LCM of 583,9705
Given numbers has no common factors except 1. So, there LCM is their product i.e 5658015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5658015
Therefore, the GCF of Fractions 7156/583,2931/9705 is 1/5658015
Least Common Multiple of 583,9705 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 583,9705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,9705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,9705) x common factors =1 x 1 = 1
LCM(583,9705) = ( 583 × 9705 ) / 1
LCM(583,9705) = 5658015 / 1
LCM(583,9705) = 5658015
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7156/583, 2931/9705
1. What is the HCF of 7156,2931?
The HCF of 7156,2931 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7156/583, 2931/9705?
Answer: GCF of Numerators as per given numbers 7156/583, 2931/9705 is
GCF of Numerators i.e. for 7156,2931 is 1
LCM of denominators i.e. for 583,9705 is 5658015.
Thus, GCF of Fractions is 1/5658015.Finally, GCF of Fractions for 7156/583, 2931/9705 is 1/5658015.